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Finding the Fourth Proportional to 22,003, 33,007.24 and 7,213.42

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Solution

The fourth proportional to 22,003, 33,007.24 and 7,213.42 is: 10,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,003 : 33,007.24 = 7,213.42 : x
  2. Step 2: Convert to fraction form
    22,003/33,007.24 = 7,213.42/x
  3. Step 3: Cross multiply
    22,003x = 33,007.24 × 7,213.42
  4. Step 4: Simplify right side
    22,003x = 238,095,085.16
  5. Step 5: Solve for x
    x = 238,095,085.16/22,003
  6. Step 6: Final answer
    x = 10,821.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.